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Finding the Fourth Proportional to 188,628.16, 260,305.50 and 103,743.40

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Solution

The fourth proportional to 188,628.16, 260,305.50 and 103,743.40 is: 143,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,628.16 : 260,305.50 = 103,743.40 : x
  2. Step 2: Convert to fraction form
    188,628.16/260,305.50 = 103,743.40/x
  3. Step 3: Cross multiply
    188,628.16x = 260,305.50 × 103,743.40
  4. Step 4: Simplify right side
    188,628.16x = 27,004,977,608.70
  5. Step 5: Solve for x
    x = 27,004,977,608.70/188,628.16
  6. Step 6: Final answer
    x = 143,165.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.